# The analysis of the Widom-Rowlinson model by stochastic geometric methods

@article{Chayes1995TheAO, title={The analysis of the Widom-Rowlinson model by stochastic geometric methods}, author={Jennifer T. Chayes and Lincoln Chayes and Roman Kotecḱy}, journal={Communications in Mathematical Physics}, year={1995}, volume={172}, pages={551-569} }

We study the continuum Widom-Rowlinson model of interpenetrating spheres. Using a new geometric representation for this system we provide a simple percolation-based proof of the phase transition. We also use this representation to formulate the problem, and prove the existence of an interfacial tension between coexisting phases. Finally, we ascribe geometric (i.e. probabilistic) significance to the correlation functions which allows us to prove the existence of a sharp correlation length in the… Expand

#### 83 Citations

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We establish phase transitions for continuum Delaunay multi-type particle systems (continuum Potts or Widom-Rowlinson models) with infinite range repulsive interaction between particles of different… Expand

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We study the critical droplet for a close-to-equilibrium Widom-Rowlinson model of interacting particles in the two-dimensional continuum at low temperatures. The critical droplet is the set of… Expand

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An analog of the continuum Widom-Rowlinson model is introduced and studied. Its two-component version is a gas of point particles of types 0 and 1 placed in $\mathds{R}^d$, in which like particles do… Expand

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We introduce a class of binary lattice gases which can be viewed as a lattice analogue of the continuum Widom–Rowlinson model, and which also is related to the beach model of Burton and Steif. This… Expand

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Abstract We establish a surface order large deviation principle characterising, in the phase coexistence region, the exponential decay rates for the probabilities of macroscopic fluctuations of… Expand

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We consider the Curie-Weiss Widom-Rowlinson model for particles with spins and holes, with a repulsion strength beta between particles of opposite spins. We provide a closed solution of the model,… Expand

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We investigate the existence of phase transitions for a class of continuum multi-type
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